Two-states Brownian particle in a Harmonic Potential
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909433058033664 |
|---|---|
| author | Carollo, Giovanni Battista Gonnella, Giuseppe Moretti, Daniela Suma, Antonio Baldovin, Fulvio Orlandini, Enzo |
| author_facet | Carollo, Giovanni Battista Gonnella, Giuseppe Moretti, Daniela Suma, Antonio Baldovin, Fulvio Orlandini, Enzo |
| contents | We study the behaviour of a Brownian particle in the overdamped regime in the presence of a harmonic potential, assuming its diffusion coefficient to randomly jump between two distinct values. In particular, we characterize the probability distribution of the particle position and provide detailed expressions for the mean square displacement and the kurtosis. We highlight non-Gaussian behaviour even within the long-term limit carried over with an excess of probability both in the central part and in the distribution's tails. Moreover, when one of the two diffusion coefficients assumes the value zero, we provide evidence that the probability distribution develops a cusp. Most of our results are analytical, and corroborated by numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-states Brownian particle in a Harmonic Potential Carollo, Giovanni Battista Gonnella, Giuseppe Moretti, Daniela Suma, Antonio Baldovin, Fulvio Orlandini, Enzo Statistical Mechanics We study the behaviour of a Brownian particle in the overdamped regime in the presence of a harmonic potential, assuming its diffusion coefficient to randomly jump between two distinct values. In particular, we characterize the probability distribution of the particle position and provide detailed expressions for the mean square displacement and the kurtosis. We highlight non-Gaussian behaviour even within the long-term limit carried over with an excess of probability both in the central part and in the distribution's tails. Moreover, when one of the two diffusion coefficients assumes the value zero, we provide evidence that the probability distribution develops a cusp. Most of our results are analytical, and corroborated by numerical simulations. |
| title | Two-states Brownian particle in a Harmonic Potential |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2412.13921 |